fantasies, then.
britain voted left up until the 70s. it was felt, by many, that it had gone too far to the left. we all know the disaster that followed. most now will admit that it's gone too far to the right. blair was not left wing but he did have some classic left wing policies, like focus on education and public nhs at the heart of his 1997 election. he also had policies to go with the public relations. it's worth putting "public" before nhs in that sentence, too.
you can't claim majority support for nationalization across the spectrum, which does exist in the uk, and then say that the country isnt left wing. wanting nationalized public services is left wing policy. it's also highly popular.